{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "be5dc1fa-dff4-41d0-bfc8-107f8d394332",
   "metadata": {},
   "source": [
    "Chapter 32\n",
    "# kNN分类\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f52fb61e-7b9e-40b4-9e23-b995682aa127",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from matplotlib.colors import ListedColormap\n",
    "from sklearn import neighbors, datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "77da8cf1-85ff-4593-af2e-fc0af7c2c03d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入并整理数据\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:, :2]\n",
    "y = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8ef728ca-d835-4d90-8397-a99027198f20",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 生成网格化数据\n",
    "x1_array = np.linspace(4,8,101)\n",
    "x2_array = np.linspace(1,5,101)\n",
    "xx1, xx2 = np.meshgrid(x1_array,x2_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "579b8457-3d97-4a32-91ae-98f8d3b19ce5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建色谱\n",
    "rgb = [[255, 238, 255],  \n",
    "       [219, 238, 244],  \n",
    "       [228, 228, 228]]  \n",
    "rgb = np.array(rgb)/255.\n",
    "cmap_light = ListedColormap(rgb)\n",
    "cmap_bold = [[255, 51, 0], \n",
    "             [0, 153, 255],\n",
    "             [138,138,138]]\n",
    "cmap_bold = np.array(cmap_bold)/255."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fcaa2594-3cf7-4340-ba6d-f738ccc98726",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>KNeighborsClassifier(n_neighbors=4)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">KNeighborsClassifier</label><div class=\"sk-toggleable__content\"><pre>KNeighborsClassifier(n_neighbors=4)</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "KNeighborsClassifier(n_neighbors=4)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k_neighbors = 4 # 定义kNN近邻数量k\n",
    "# 创建kNN分类器对象\n",
    "kNN = neighbors.KNeighborsClassifier(k_neighbors)\n",
    "kNN.fit(X, y) # 用训练数据训练kNN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f1b7c324-6c21-458f-9849-996115d4a6b7",
   "metadata": {},
   "outputs": [],
   "source": [
    "q = np.c_[xx1.ravel(), xx2.ravel()]\n",
    "# 用kNN对一系列查询点进行预测\n",
    "y_predict = kNN.predict(q)\n",
    "y_predict = y_predict.reshape(xx1.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "052e741d-2da1-485e-a4f7-5755f1b87936",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化\n",
    "fig, ax = plt.subplots()\n",
    "plt.contourf(xx1, xx2, y_predict, cmap=cmap_light)\n",
    "plt.contour(xx1, xx2, y_predict, levels=[0,1,2], \n",
    "            colors=np.array([0, 68, 138])/255.)\n",
    "sns.scatterplot(x=X[:, 0], y=X[:, 1], \n",
    "                hue=iris.target_names[y],\n",
    "                ax = ax,\n",
    "                palette=dict(setosa=cmap_bold[0,:],\n",
    "                versicolor=cmap_bold[1,:], \n",
    "                virginica=cmap_bold[2,:]),\n",
    "                alpha=1.0, \n",
    "                linewidth = 1, edgecolor=[1,1,1])\n",
    "plt.xlim(4, 8); plt.ylim(1, 5)\n",
    "plt.xlabel(iris.feature_names[0])\n",
    "plt.ylabel(iris.feature_names[1])\n",
    "ax.grid(linestyle='--', linewidth=0.25, \n",
    "        color=[0.5,0.5,0.5])\n",
    "ax.set_aspect('equal', adjustable='box')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
